Use the method of Lagrange multipliers to find maximum and minimum values of f(x,y,z) = xyz subject to x^2 + y^2 + z^2 = 3.
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In this case, the equation is y=mx+b. Show more…
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Use Lagrange multipliers to find the maximum and minimum values of $f$ (when they exist) subject to the given constraint. $f(x, y, z)=x+3 y-z$ subject to $x^{2}+y^{2}+z^{2}=4$
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